Second- and Third-Order Noncentered Difference Schemes for Nonlinear Hyperbolic Equations

DOI10.2514/3.50449zbMath0268.76048OpenAlexW2028075642MaRDI QIDQ5685791

Robert F. Warming, Paul Kutler, Harvard Lomax

Publication date: 1973

Published in: AIAA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2514/3.50449

Mathematics Subject Classification ID

Supersonic flows (76J20)

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Several new numerical methods for compressible shear-layer simulations ⋮ Modified equation techniques for reactive-diffusive systems. I: Explicit, implicit and quasilinear methods ⋮ A new splitting scheme to the discrete Boltzmann equation for non-ideal gases on non-uniform meshes ⋮ Monotonicity criteria for difference schemes designed for hyperbolic equations ⋮ High order accurate, explicit, difference formulas for the classical wave equation ⋮ Interaction of time stepping and convection schemes for unsteady flow simulation ⋮ The modified equation approach to the stability and accuracy analysis of finite-difference methods ⋮ An assessment of the quality of selected finite difference schemes for time dependent compressible flows ⋮ An implicit finite-difference algorithm for hyperbolic systems in conservation-law form ⋮ An improved form of the artificial diffusion parameter-\(\chi\) ⋮ Classification of difference schemes of gas dynamics by the method of differential approximation. I. One-dimensional case ⋮ Generalised Galerkin methods for hyperbolic problems ⋮ Classification of difference schemes of gas dynamics by the method of differential approximation. II. Two-dimensional case

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